Post-Minkowskian scattering angle in Einstein gravity
N.E.J. Bjerrum-Bohr, Andrea Cristofoli, Poul H. Damgaard
Abstract
A bstract Using the implicit function theorem we demonstrate that solutions to the classical part of the relativistic Lippmann-Schwinger equation are in one-to-one correspondence with those of the energy equation of a relativistic two-body system. A corollary is that the scattering angle can be computed from the amplitude itself, without having to introduce a potential. All results are universal and provide for the case of general relativity a very simple formula for the scattering angle in terms of the classical part of the amplitude, to any order in the post-Minkowskian expansion.
Topics & Concepts
PhysicsGeneral relativityEinsteinScatteringScattering amplitudeClassical mechanicsTheory of relativityMathematical physicsSimple (philosophy)CorollaryScattering theoryFunction (biology)Introduction to the mathematics of general relativityAmplitudeGravitationDifferential geometryOrder (exchange)Scattering lengthEinstein equationsQuantum electrodynamicsMathematics of general relativityRelativistic mechanicsSpecial relativityNumerical relativityTheoretical physicsDoubly special relativityLinearized gravityEinstein field equationsCorrespondence principle (sociology)First orderEnergy conditionEnergy (signal processing)Pulsars and Gravitational Waves ResearchCosmology and Gravitation TheoriesBlack Holes and Theoretical Physics